Title :
An SNR threshold for 2-D damped harmonic models
Author :
Clark, Michael P.
Author_Institution :
Air Force Inst. of Technol., Wright-Patterson AFB, OH, USA
Abstract :
Consider the problem of finding a lower bound on the signal to noise ratio (SNR) at which any unbiased 2-D harmonic estimation scheme may resolve closely spaced parameters. In particular, consider the Cramer-Rao bounds associated with the parameters. If the parameter estimates are unbiased and normally distributed, the bounds give the smallest possible ellipsoid about each of the parameters which contains a given amount of probability mass. These ellipsoids increase in size with decreasing SNR. The paper presents a method for determining the largest SNR at which any two of the ellipsoids touch. This is deemed the resolution threshold SNR
Keywords :
harmonic analysis; interference (signal); parameter estimation; probability; signal resolution; 2-D damped harmonic models; Cramer-Rao bounds; SNR threshold; closely spaced parameters; ellipsoid; lower bound; parameter estimates; probability mass; resolution threshold; signal to noise ratio; unbiased 2-D harmonic estimation scheme; Additive white noise; Density functional theory; Ellipsoids; Noise level; Parameter estimation; Scattering parameters; Signal resolution; Signal to noise ratio; Space technology; Yield estimation;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1995. ICASSP-95., 1995 International Conference on
Conference_Location :
Detroit, MI
Print_ISBN :
0-7803-2431-5
DOI :
10.1109/ICASSP.1995.480675
